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If two adjacent angles of a parallelogram are in the ratio 2 : 3, then the measure of angles are
(a) 72°, 108°
(b) 36°, 54°
(c) 80°, 120°
(d) 96°, 144°

Solution:

Given, the two adjacent angles of a parallelogram are in the ratio 2 : 3

We have to find the measure of these angles.

Let the angles be 2x and 3x.

We know that the sum of adjacent angles of a parallelogram are supplementary.

So, 2x + 3x = 180°

5x = 180°

x = 180°/5

x = 36°

Now, 2x = 2(36°) = 72°

3x = 3(36°) = 108°

Therefore, the required angles are 72° and 108°

✦ Try This: If two adjacent angles of a parallelogram are in the ratio 3 : 7, then the measure of angles are

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 31

Summary:

If two adjacent angles of a parallelogram are in the ratio 2 : 3, then the measure of angles are 72° and 108°.

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